Yes, the center of pressure goes forward as the airplane slows down. That´s why I use to fine tune the center of gravity observing how the airplane handles at landing. If the plane´s feels stable and you still have pitch control authority the CG is at the perfect position.

Also full size supersonic planes like the Concorde used to pump around fuel in the tanks for obtaining the optimal CG for landing and flying.. But I guess that someone here who have flown it may chim in and give a better explanation of this process.